Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32490p |
Isogeny class |
Conductor |
32490 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-69257922561000 = -1 · 23 · 312 · 53 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 3 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4806,378108] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:444:1] |
Generators of the group modulo torsion |
j |
129205871/729000 |
j-invariant |
L |
4.71709080102 |
L(r)(E,1)/r! |
Ω |
0.44546958359876 |
Real period |
R |
0.58827944646544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10830ba1 32490by1 |
Quadratic twists by: -3 -19 |